Perform the following
mathematical operation, and
report the answer to the
appropriate number of
significant figures.
7.273 - 12.37 = [?]

Answer:

A) Yes, f and g are both concave down.

Step-by-step explanation:

Answer:

28/41

Step-by-step explanation:

Answer:  y+0

As y=0 represent x-axis whose slope is 0 and intersects y-axis at the origin.

Step-by-step explanation:

Answer:

a. 28.

b 20.78.

Step-by-step explanation:

a. f(x) = 0.001(x -  10)(x + 20)(x - 40)

When x = 50

Height = f(40) = 0.001(50-10)(50+20)(50-40)

= 0.001(40*70*10)

= 0.001 * 28,000

= 28 units.

b.

Expanding the function we get

f(x) = 0.001(x  - 10)(x^2 - 20x - 800)

f(x) = 0.001(x^3 - 30x^2 - 600x + 8000)

f(x) = 0.001x^3 - 0.03x^2 - 0.6x + 8

Finding the derivative

f'(x) = 0.003x^2 - 0.06x - 0.6

This is zero for maxm/minm values:

0.003x^2 - 0.06x - 0.6 = 0

x = 27.32, - 7.32.

The values of the heights corresponding to these values of x are:

0.001(27.32-10)(27.32+20)(27.32-40)

= -10.39. and

0.001(-7.32-10)(-7.32+20)(-7.32-40)

= 10.39.

So the distance between A and B =  10.39 - (-10.39)

= 20.78.

Answer:

A. 20 inches

Step-by-step explanation:

Answer:

The answer is 120 , as the 25 % of people are getting seven hour sleep and they are 30 in number . As 25% of 120 is 30 , the answer is 30

I hope it helps

Answer:

The answer is 120

Answer:

6

Step-by-step explanation:

divide the shape into a triangle and square

the triangle area is 1/2hb= 1/2 2*2 =2

the square are is a ^2 = 2^2 = 4

4+2 =6  

Answer:

Step-by-step explanation:

Yes, the two angles are congruent.  There are two triangles here, and these triangles are congruent as well.

Answer:

About 78.1 square centimeters

Step-by-step explanation:

First, you need to find the areas of each individual shape, and then to subtract  one from the other. The area of the circle is [tex]\pi r^2=\pi \cdot 6^2\approx 113.1[/tex]. The area of the rectangle is [tex]7\cdot 5=35[/tex]. Subtracting this from the area of the circle, you get about 78.1 centimeters. Hope this helps!

Answer:

[tex]78.09 {cm}^{2} [/tex]

Step-by-step explanation:

First find the area of the circle

[tex]\pi {r}^{2} \\ \pi \times 6 \times 6 \\ = 113.09[/tex]

Now find the area of the rectangle

[tex]b \times h \\ = 5 \times 7 \\ = 35[/tex]

Now subtract the area of the rectangle from the area of the circle.

You'll get the area of the shaded region.

[tex]113.09 - 35 \\ = 78.09 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

g(q) = 5/8q

Step-by-step explanation:

-7q + 12r = 3q - 4r

Add 4r to each side

-7q + 12r+4r  = 3q - 4r+4r

-7q +16r = 3q

Add 7q to each side

-7q+7q +16r = 3q+7q

16r = 10q

Divide each side by 16

16r/16 = 10q/16

r = 5q/8

g(q) = 5/8q

Answer:

0.15%

Step-by-step explanation:

The Empirical Rule ( 68-95-99.7 Rule) states that almost all data falls within 3 standard deviations of the mean for a normal distribution.  Under the rule:

Given that:

mean (μ) = 594 and standard deviation σ = 96

The percentage of people that all fall outside 306 and 882 = 100% - 99.7% = 0.3%. Therefore the percentage of people that are below 306 = 0.3% / 2 = 0.15%

Answer:

A

Step-by-step explanation:

A number divisible by 9 is also divisible by 3. This is because nine is basically just 3+3+3.

Answer:

the last one

Step-by-step explanation:

i nine is divisible by three and 3 is a factor of 9 the other one is just false

for you to understand- 9

                                  3         3

For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Answer:

a) 35

Step-by-step explanation:

k^2 = m^2 + j^2 - 2(m)(j) cosK

k^2 = 21^2 + 28^2 - 2(21)(28)(cos90)

k^2 = 441 + 784 - 2(588)(0)

k^2 = 1225 - 0

k^2 = 1225

√k^2 √1225

k = 35

Answer:a 35

Step-by-step explanation:

took the test

Answer:

112.5 percent

Step-by-step explanation:

Change: 45 lbs.

45/40

1.125

1.125x100=112.5 percent

Answer:

1440

Step-by-step explanation:

[tex]18 \sqrt{8} - 8 \sqrt{18} = \sqrt{n} \\ {18 \sqrt{8} }^{2} - {8 \sqrt{18}}^{2} = n \\ 2592 - 1152 = n \\ 1440 = n[/tex]

Answer:

1149.8 m³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

Here diameter = 13, thus radius = 13 ÷ 2 = 6.5

V = [tex]\frac{4}{3}[/tex] × 3.14 × 6.5³

   = [tex]\frac{4}{3}[/tex] × 3.14 × 274.625

   = [tex]\frac{4(3.14)(274.625)}{3}[/tex] ≈ 1149.8 m³ ( to the nearest tenth )

Answer:

8 packs

Step-by-step explanation:

$4 = 1 pack

$32 = ?

$32 = $32/$4

$32 = 8 packs

Answer:

The radius of the base of the small cone is 3 feet

Step-by-step explanation:

The question requires the determination of the radius of the smaller cone

Therefore, height of the larger cone = 10 feet

Base diameter of the larger cone = 10 feet

Height of horizontal plane of small plane above base of larger cone = 4 feet

Hence the height of the small cone = 6 feet

Therefore, by similar triangles, and tangents we have;

[tex]\frac{Height \, of \, small \, cone}{Height \, of \, larger\, cone} =\frac{Diameter \, of \, base \, of \, small \, cone}{Diameter \, of \, base \, of \, larger \ cone} =\frac{6}{10} = \frac{x}{10}[/tex]

Where:

x = The diameter of the base of the small cone

Therefore;

[tex]{x} = \frac{6}{10} \times 10 = 6 \, feet[/tex]

The radius of the base of the small cone = half the diameter of the base of the small cone

∴ The radius of the base of the small cone = (6 feet)/2 = 3 feet.

Answer:

the radius would be 3

Step-by-step explanation:

so what it's saying si there;s a cone with diameter 10 and height 10, the 4 feet above the bottom of the cone is the base of the smaller cone. The height of the smaller cone becomes 6, making the diameter 6 as the ratio becomes 6:6, and radius is diameter/2 becoming 3

Answer:

B. 5 cm3

Step-by-step explanation:

The volume of the oblique pyramid with a square base is 3.33 cm³.

Suppose the base of the pyramid has length = l units, and width = w units.

Suppose that the height of the pyramid is of h units, then:

[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]

is the volume of that pyramid.

The base is a rectangle with length = L units, and width = W units, so its area is:

[tex]b = l \times w\: \rm unit^2[/tex]

We are given that;

the base is about 2 cm long and that the height is about 2.5 cm long.

Now,

Using these values, we can estimate the volume as:

V ≈ (1/3) × Base Area × Height

V ≈ (1/3) × (2 cm)² × 2.5 cm

V ≈ (1/3) × 4 cm² × 2.5 cm

V ≈ 10/3 cm³

V ≈ 3.33 cm³

Therefore, an approximate volume of the pyramid will be 3.33 cm³.

Learn more about right rectangular pyramid here:

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Answer:

y - y1 = m (x - x1)

y - 1 = 5 ( x - (-2))

y - 1 = 5(x+ 2)

y - 1 = 5x +10

Step-by-step explanation:

Answer:

+1/3

....................

Answer:

21, 17, 13

Step-by-step explanation:

Find the mean of the 2 given values

mean = [tex]\frac{25+9}{2}[/tex] = [tex]\frac{34}{2}[/tex] = 17

Noe find the mean of 25 and 17 and 17 and 9

mean = [tex]\frac{25+17}{2}[/tex] = [tex]\frac{42}{2}[/tex] = 21 and

mean = [tex]\frac{17+9}{2}[/tex] = [tex]\frac{26}{2}[/tex] = 13

Thus the 3 means are 21, 17 and 13, that is

25, 21, 17, 13, 9

Answer:

-5 or 5

Step-by-step explanation:

The n is in absolute value bars. So n could either be -5 or 5

Answer:

Step-by-step explanation:

(2/3) - (5/6) = (-1/6)

(-1/6)/(3/4) = -2/9

The value of the expression is -4/18

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here, the expression as (2/3-5/6) / 3/4 = 4-5 /6 × 4/3

                                                                          = -4/18

Hence, the value of the expression is  -4/18

Learn more about the BODMAS rule here:

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Answer:

the alternative interior angles are c and e

Answer:

7(3x+5)

Step-by-step explanation:

When factoring out the GCF you want to find the largest number that can divide into both 21 and 35. The largest number is 7 so you divide 7 from 21e and 35.

Answer:

7(3e+5)

Step-by-step explanation:

A. is correct! Good job!

The correct answer is D.  I found the equation,  y = 6x + 1 and solved each one till it fit.  y + 5 = 6(x + 1)

                      y + 5 = 6x + 6

                          -5            -5

                      y = 6x + 1